(1 point) Let F (x, y) = \frac{-yi+xj}{x^2+y^2} and let C be the circle r (t) = (cost) i + (sint) j, 0 ? t ? 2?. A. Compute \frac{?Q}{?x} Note: Your answer should be an expression of x and y; e.g. "3xy - y" B. Compute \frac{?P}{?y} Note: Your answer should be an expression of x and y; e.g. "3xy - y" C. Compute \int_C F \cdot dr Note: Your answer should be a number D. Is F conservative? Type Y if yes, type N if no.
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To compute ax, we need to find the x-component of the vector field F at point (x, y). The vector field F is given by F = (x^2 + y^2)i + (x^2 + v)j. So, the x-component of F is x^2 + y^2. B. To compute P dy, we need to find the y-component of the vector field F at Show more…
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